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I was studying for my trigonometry test, a subject where I am usually very strong at, however I came across this questions and simply have no idea how to go about solving for m and n.

The question is as followed:

The diagram below shows the graph of $y = x\sin(x/3)$, for $0<x<m$, and $0<y<n$, where $x$ is in radians and $m$ and $n$ are integers.

Find the values of;

a.) $m$ and $n$

enter image description here

I found that the functions hits the x-axis at $3\pi$ and has a period of $6\pi$ however then I do not know what to do.Also the diagram may not be clear but on the x axis it shows 2 point: $m-1$ and $m$, while on the y-axis it shows: $n-1$ and $n$.

Thank you in advance.

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If it hit the x axis at $3 \pi$, the last integer x assumes before that is $9$. Son $n=10$, right? Now do the same for the maximum of the function and you'll get m. –  Leo Azevedo Feb 2 at 21:32

2 Answers 2

If it hit the x axis at $3 \pi$, the last integer x assumes before that is $9$. Son $n=10$, right? Now do the same for the maximum of the function and you'll get m.

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m is the least integer greater than 3*PI For n, find the maximum of the function, and n will be the least integer greater than that maximum.

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